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dc.contributor.authorPla García, Núria
dc.contributor.authorVigo Anglada, Marc
dc.contributor.authorCotrina Navau, Josep
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Telemàtica
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Ciències de la Computació
dc.date.accessioned2016-12-09T10:50:42Z
dc.date.available2016-12-09T10:50:42Z
dc.date.issued2004-06
dc.identifier.citationPla, N., Vigo, M., Cotrina, J. "Multisided patches". 2004.
dc.identifier.urihttp://hdl.handle.net/2117/97925
dc.description.abstractWe present a method to construct a patch of parametric surface of degree k + 1 that lls a n-sided hole, with n bigger than 2, and whose boundary coincides with a B-Spline, thus, the resulting patch can be easily connected with given B-Spline surfaces with xed continuity conditions. The method is inspired on a generic approach to construct free form surfaces, which gives a family of practical schemes to design surfaces from an arbitrary given mesh, using the di erentiable manifold theory. The input is a star shaped mesh which describes a generic n-hole and a surface in a neighborhood of the hole. The main advantages of the method are the following: arbitrary order k continuity conditions can be imposed; the involved hole can have an arbitrary number of sides and arbitrary shape (convex or not); the simplicity of the construction process gives an easy and exible method; and nally, the surface near the boundary is a B-Spline with piecewise uniform knot sequences and whose control points are vertices of the given mesh; both knot sequences and control points are easily computed. Implementation details to evaluate a surface point are given, showing that the de Boor algorithm can be exploited for efficiency.
dc.format.extent22 p.
dc.language.isoeng
dc.relation.ispartofseriesLSI-04-33-R
dc.subjectÀrees temàtiques de la UPC::Informàtica::Infografia
dc.subject.otherComputer aided geometric design
dc.subject.otherB-Splines
dc.subject.otherN-Sided
dc.subject.otherPatches
dc.subject.otherContinuity
dc.titleMultisided patches
dc.typeExternal research report
dc.contributor.groupUniversitat Politècnica de Catalunya. WNG - Grup de xarxes sense fils
dc.rights.accessOpen Access
local.identifier.drac1891155
dc.description.versionPostprint (published version)
local.citation.authorPla, N.; Vigo, M.; Cotrina, J.


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